A population of values has a normal distribution with

=

109.6

=109.6

and

=

54

=54

. You intend to draw a random sample of sizen

=

81

n=81

.Please show your answers as numbers accurate to 4 decimal places.

Find the probability that a single randomly selected value is less than 114.4.

P(X< 114.4) =

Find the probability that a sample of sizen

=

81

n=81

is randomly selected with a mean less than 114.4.

P(

x

x

< 114.4) =